Condense each expression to a single logarithm (Show Work Please)

Question

15log₇z + 15log₇x - 5log₇y

Answer 1

First, use the Power Property;

log₇z¹⁵ + log₇x¹⁵ - log₇y⁵

 

Next use the Product Property:

log₇z¹⁵x¹⁵ - log₇y⁵

 

Lastly, use the Quotient Property:

log₇ [x¹⁵z¹⁵/y⁵]